A Textbook Of Engineering Mathematics Sem 4

This book is a part of the original book ‘‘A Textbook of Engineering Mathematics’’ by N.P. Bali running into seventh edition and very well received by the teachers and students of all Indian Universities. The rapid sale of the seventh edition bears testimony to the overwhelming response. The present form of the book contains only five chapters and covers the entire syllabus for the students of fourth semester of Mahatma Gandhi University. More worked out problems were included in the third edition as examples. Problems collected from latest M.G. University Question papers were added in the exercise to increase the flavour of the book. Appendix is attached. Problems in the statistics can be done with the help of the tables in the Appendix. There is no dearth of books on Engineering Mathematics but the students find it difficult to solve most of the problems in the exercise in the absence of an adequate number of solved examples. An outstanding and distinguishing feature of the book is the large number of typical solved examples followed by well-graded problems. Many examples and problems have been selected from recent papers of various engineering examinations. We have endeavoured to present the fundamental concepts in a comprehensive and lucid manner. We are indebted to all authors, Indian and Foreign, whose works we have frequently consulted. All efforts have been made to keep the book free from errors. Answers to all exercises have been re-checked. All suggestions for improvement will be highly appreciated and gratefully acknowledged.

Chapter 3 Price: 2.99

Chapter 4 Price: 2.99

If the numerical values assumed by a variable are the result of some chance factors, so
that a particular value cannot be exactly predicted in advance, the variable is then called a
random variable. A random variable is also called ‘chance variable’ or ‘stochastic variable’.
Random variables are denoted by capital letters, usually, from the last part of the
alphabet, for instance, X, Y, Z etc.

Chapter 5 Price: 2.99

An aggregate of objects (animate or inanimate) under study is called population or
universe. It is thus a collection of individuals or of their attributes (qualities) or of results of
operations which can be numerically specified.
A universe containing a finite number of individuals or members is called a finite inverse.
For example, the universe of the weights of students in a particular class or the universe
of smokes in Rohtak district.
A universe with infinite number of members is known as an infinite universe. For
example, the universe of pressures at various points in the atmosphere.
In some cases, we may be even ignorant whether or not a particular universe is infinite,
e.g., the universe of stars.